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Solve. $\newline$ $-5x + 5y = 10$ $\newline$ $y = 4$ $\newline$ (_, _)

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Solve a system of equations using any method

Full solution

Q. Solve.

\newline

-5x + 5y = 10

\newline

y = 4

\newline

(_____, _____)

Substitute y value: Substitute the value of $y$ into the first equation. $\newline$ Given $y = 4$ , we substitute this value into the equation $-5x + 5y = 10$ . $\newline$ $-5x + 5(4) = 10$
Simplify and solve for x: Simplify the equation and solve for x. $\newline$ $-5x + 20 = 10$ $\newline$ Now, subtract $20$ from both sides to isolate the term with x. $\newline$ $-5x + 20 - 20 = 10 - 20$ $\newline$ $-5x = -10$
Divide to find x: Divide both sides by $-5$ to find the value of x. $\newline$ $-5x / -5 = -10 / -5$ $\newline$ $x = 2$
Write as ordered pair: Write the solution as an ordered pair. $\newline$ We have found $x = 2$ and we were given $y = 4$ . $\newline$ The solution in the form of an ordered pair is $(2, 4)$ .

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